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On the First Exit Time of a Nonnegative Markov Process Started at a Quasistationary Distribution

On the First Exit Time of a Nonnegative Markov Process Started at a Quasistationary Distribution

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_jap_1308662648

On the First Exit Time of a Nonnegative Markov Process Started at a Quasistationary Distribution

About this item

Full title

On the First Exit Time of a Nonnegative Markov Process Started at a Quasistationary Distribution

Publisher

Cambridge, UK: Cambridge University Press

Journal title

Journal of applied probability, 2011-06, Vol.48 (2), p.589-595

Language

English

Formats

Publication information

Publisher

Cambridge, UK: Cambridge University Press

More information

Scope and Contents

Contents

Let {M
n
}
n≥0 be a nonnegative time-homogeneous Markov process. The quasistationary distributions referred to in this note are of the form Q
A
(x) = lim
n→∞P(M
n
≤ x | M
0 ≤ A,
M
1 ≤ A, …, M
n
≤ A). Suppose that M
0 has distribution Q
A
, and define T
A
Q
A
= min{n | M
n
> A, n ≥ 1}...

Alternative Titles

Full title

On the First Exit Time of a Nonnegative Markov Process Started at a Quasistationary Distribution

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_jap_1308662648

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_jap_1308662648

Other Identifiers

ISSN

0021-9002

E-ISSN

1475-6072

DOI

10.1239/jap/1308662648

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